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The density of an object is given by density = mass/volume.
Let the side of the cube be S.
The volume of a cube of side S = S^3
The mass is 50 g and density is 7.8 g/cm^3
Using the information provided we can create an equation:
7.8 = 50/S^3
=> S^3 = 50/7.8 = 6.410 cm^3
The volume of the cube is 6.41 cm^3
S = (50/7.8)^(1/3) = 1.857 cm
The length of the side of the cube is 1.857 cm and the volume is 6.41 cm^3.
Since to determine the length of each side of the cube, we need to know the volume, we'll begin by calculating the volume.
First, we'll recall the volume formula:
V = mass/density
From enunciation, we know the mass and the density of material, therefore we can calculate the volume of the cube:
V = 50 g/7.8 g/cm^3
V = 6.410 cm^3
We'll recall the formula that gives the volume of a cube:
V = l^3, where l is the length of the side of the cube.
6.410 = l^3
l = cube root (6.410)
l = 1.857 cm
The requested length of the side of the cube and the volume of the cube are: l = 1.857 cm and V = 6.410 cm^3.
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